{"id":"https://openalex.org/W2098665349","doi":"https://doi.org/10.1016/0097-3165(83)90067-5","title":"A canonical partition theorem for equivalence relations on Zt","display_name":"A canonical partition theorem for equivalence relations on Zt","publication_year":1983,"publication_date":"1983-05-01","ids":{"openalex":"https://openalex.org/W2098665349","doi":"https://doi.org/10.1016/0097-3165(83)90067-5","mag":"2098665349"},"language":"en","primary_location":{"id":"doi:10.1016/0097-3165(83)90067-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-3165(83)90067-5","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113525364","display_name":"Walter Deuber","orcid":null},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"W Deuber","raw_affiliation_strings":["Universit\u00e4t of Bielefeld, West Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e4t of Bielefeld, West Germany","institution_ids":["https://openalex.org/I20121455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005013807","display_name":"Ronald Graham","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R.L Graham","raw_affiliation_strings":["Bell Laboratories, Murray Hill. New Jersey 07974, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bell Laboratories, Murray Hill. New Jersey 07974, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072637221","display_name":"Hans J\u00fcrgen Pr\u00f6mel","orcid":null},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"H.J Pr\u00f6mel","raw_affiliation_strings":["Universit\u00e4t of Bielefeld, West Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e4t of Bielefeld, West Germany","institution_ids":["https://openalex.org/I20121455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072885257","display_name":"Bernd Voigt","orcid":null},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"B Voigt","raw_affiliation_strings":["Universit\u00e4t of Bielefeld, West Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e4t of Bielefeld, West Germany","institution_ids":["https://openalex.org/I20121455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":3.055,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.92944785,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"34","issue":"3","first_page":"331","last_page":"339"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6360636949539185},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5893704295158386},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5828196406364441},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.5579918622970581},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40247467160224915},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33884456753730774}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6360636949539185},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5893704295158386},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5828196406364441},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.5579918622970581},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40247467160224915},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33884456753730774}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0097-3165(83)90067-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-3165(83)90067-5","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4000000059604645,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1022649828","https://openalex.org/W1489006728","https://openalex.org/W2025649640","https://openalex.org/W2052804318","https://openalex.org/W2066486518","https://openalex.org/W2070496958","https://openalex.org/W2088212677"],"related_works":["https://openalex.org/W3086542228","https://openalex.org/W1985488429","https://openalex.org/W2062762081","https://openalex.org/W2964341423","https://openalex.org/W2059034874","https://openalex.org/W1966007443","https://openalex.org/W2164179442","https://openalex.org/W3090200275","https://openalex.org/W2964187826","https://openalex.org/W2948802592"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}